Answer
(b) 0.27
Work Step by Step
Here, we have n = 6, $μ = 266$, x̅ = 270, σ = 16
$σ_{x̅} = \frac{σ}{\sqrt n} = \frac{16 }{\sqrt 6} = 6.532$
We need to calculate the z score for the probability that x̅ takes a value between 112 and 118 mg/dL.
$z = \frac{x̅ - μ_{x̅}}{σ_{x̅}} = \frac{270-266}{6.532} = 0.61$
Using Table A of the book, we have:
P(z > 0.61) = 0.271
